We explore the concept of a graph homomorphism through the lens of C * -algebras and operator systems. We start by studying the various notions of a quantum graph homomorphism and examine how they are related to each other. We then define and study a C *algebra that encodes all the information about these homomorphisms and establish a connection between computational complexity and the representation of these algebras. We use this C * -algebra to define a new quantum chromatic number and establish some basic properties of this number. We then suggest a way of studying these quantum graph homomorphisms using certain completely positive maps and describe their structure. Finally, we use these completely positive maps to define the notion of a "quantum" core of a graph.

Abstract. To each graph on n vertices there is an associated subspace of the n × n matrices called the operator system of the graph. We prove that two graphs are isomorphic if and only if their corresponding operator systems are unitally completely order isomorphic. This means that the study of graphs is equivalent to the study of these special operator systems up to the natural notion of isomorphism in their category. We define new graph theory parameters via this identification. Certain quotient norms that arise from studying the operator system of a graph give rise to a new family of parameters of a graph. We then show basic properties about these parameters and write down explicitly how to compute them via a semidefinte program, and discuss their similarities to the Lovász theta function. Finally, we explore a particular parameter in this family and establish a sandwich theorem that holds for some graphs.

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The present paper synthesizes the results obtained in the evaluation of a6 4 The present paper synthesizes the results obtained in the evaluation of a6 4 The present paper synthesizes the results obtained in the evaluation of a6 4 The present paper synthesizes the results obtained in the evaluation of a6 4 microstrips crystalline silicon detector coupled to RX64 ASIC, designed for high-energy physics microstrips crystalline silicon detector coupled to RX64 ASIC, designed for high-energy physics microstrips crystalline silicon detector coupled to RX64 ASIC, designed for high-energy physics microstrips crystalline silicon detector coupled to RX64 ASIC, designed for high-energy physics experiments, as au seful X-rayd etector in advancedm edical radiography, specifically in digital experiments, as au seful X-rayd etector in advancedm edical radiography, specifically in digital experiments, as au seful X-rayd etector in advancedm edical radiography, specifically in digital experiments, as au seful X-rayd etector in advancedm edical radiography, specifically in digital mammography. Research includes thea cquisition of two-dimensional radiography of a mammography.R esearch includes thea cquisition of two-dimensional radiography of a mammography.R esearch includes thea cquisition of two-dimensional radiography of a mammography.R esearch includes thea cquisition of two-dimensional radiography of a mammography phantom using the scanning method, andthe comparison of experimental profile mammography phantom using the scanning method, andthe comparison of experimental profile mammography phantom using the scanning method, andthe comparison of experimental profile mammography phantom using the scanning method, andthe comparison of experimental profile with mathematically simulated one. The paper also shows the experimental images of three with mathematically simulated one. The paper also shows the experimental images of three with mathematically simulated one. The paper also shows the experimental images of three with mathematically simulated one. The paper also shows the experimental images of three biological samples takenf rom breast biopsies, where it is possible to identify thep resence of biological samples takenf rom breast biopsies, where it is possible to identify thep resence of biological samples takenf rom breast biopsies, where it is possible to identify thep resence of biological samples takenf rom breast biopsies, where it is possible to identify thep resence of possible pathological tissues. possible pathological tissues. possible pathological tissues. possible pathological tissues.

We studied the capability of Matlab in digital processing of breast tissues images with microcalcifications. We obtained digital images of different byopsies through a Bede X-ray tube, fixed at 20 kV and 1 mA. Radiation exposition time was varied. The byopsies were placed between a 120µm collimator and a 128 strips detector, which was used to measure the absorption of X rays in the tissue. Matlab allowed the manipulation of digital images, and this software was intended to improve the identification of microcalcifications in breast tissues.

In our study we have used a silicon strip detector to obtain digital images of some breast tissues with micro calcifications. Some of those images will be shown and we will discuss the perspectives of using this technique as an improvement of breast cancer diagnostics

An original way to make sense of the aesthetic experience concept – in a Deweyan perspective – is from the Art-Education binomial. After studying the pragmatist philosophical category of Experience in John Dewey, a product of Doctoral theoretical research in education, it was possible to characterize a new art movement: School Art. Hence, this conceptual-theoretical finding will expand a wide range of art movements that emerged between the nineteenth century and contemporaneity: Art Nouveau, Impressionism, Abstract Art, Futurism, Action Painting, and Children’s Art, among many others. However, because of lexical reasons and hoping to achieve greater acceptance among theorists, the so-called School Art will patent from this paper as a neologism named from now on as Artscholarism. Thus, its philosophical-historical foundations, characteristics, and description will be the article’s primary purpose. In that sense, psychological and historical discussions will emerge throughout the paper. In conclusion, the new art movement – Artscholarism – comes from Deweyan thinking and is framed by creativity and a social context.